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Finding the Third Proportional to 336,830 and 720,340

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Solution

The third proportional to 336,830 and 720,340 is: 1,540,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,830 : 720,340 = 720,340 : x
  2. Step 2: Convert to fraction form
    336,830/720,340 = 720,340/x
  3. Step 3: Cross multiply
    336,830x = 720,340 × 720,340
  4. Step 4: Simplify right side
    336,830x = 518,889,715,600
  5. Step 5: Solve for x
    x = 518,889,715,600/336,830
  6. Step 6: Final answer
    x = 1,540,509.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.